标题:
关于G-代数的广义膨胀的几个结论On the Generalized Inflated G-Algebras
作者:
黄文林
关键字:
G-代数, 广义膨胀, 块覆盖, 块控制, 亏群G-Algebra; Generalized Inflated; Block Cover; Block Control; Defect Group
期刊名称:
《Pure Mathematics》, Vol.3 No.1, 2013-01-28
摘要:
在本文中,我们借助G-代数的(内)张量积定义了广义膨胀G-代数这个概念,得到了广义膨胀G-代数是局部G-代数的充要条件,推广了关于块覆盖和块控制的相应结论,我们还得到了关于广义膨胀G-代数的亏群的一个刻画。We defined the generalized inflated G-algebra, and obtained the necessary and sufficient condition for the local generalized inflated G-algebra. We also studied the blocks of finite groups and that of its factor groups with the inflated G-algebra, and hence promoted the results on the block cover and the block control, moreover, we characterized the defected group of the generalized inflated G-algebra.